Two vectors $\overrightarrow{ A }$ and $\overrightarrow{ B }$ have equal magnitudes. If magnitude of $\overrightarrow{ A }+\overrightarrow{ B }$ is equal to two times the magnitude of $\overrightarrow{ A }-\overrightarrow{ B }$, then the angle between $\overrightarrow{ A }$ and $\overrightarrow{ B }$ will be .......................

  • [JEE MAIN 2022]
  • A

    $\sin ^{-1}\left(\frac{3}{5}\right)$

  • B

    $\sin ^{-1}\left(\frac{1}{3}\right)$

  • C

    $\cos ^{-1}\left(\frac{3}{5}\right)$

  • D

    $\cos ^{-1}\left(\frac{1}{3}\right)$

Similar Questions

A body is moving under the action of two forces ${\vec F_1} = 2\hat i - 5\hat j\,;\,{\vec F_2} = 3\hat i - 4\hat j$. Its velocity will become uniform under an additional third force ${\vec F_3}$ given by

At what angle must the two forces $(x + y)$ and $(x -y)$ act so that the resultant may be $\sqrt {({x^2} + {y^2})} $

Which of the following forces cannot be a resultant of $5\, N$ and $7\, N$ force...........$N$

Figure shows three vectors $p , q$ and $r$, where $C$ is the mid point of $A B$. Then, which of the following relation is correct?

Given $a+b+c+d=0,$ which of the following statements eare correct:

$(a)\;a, b,$ c, and $d$ must each be a null vector,

$(b)$ The magnitude of $(a+c)$ equals the magnitude of $(b+d)$

$(c)$ The magnitude of a can never be greater than the sum of the magnitudes of $b , c ,$ and $d$

$(d)$ $b + c$ must lie in the plane of $a$ and $d$ if $a$ and $d$ are not collinear, and in the line of a and $d ,$ if they are collinear ?